Jawahar Navodaya Vidyalaya Selection Test (JNVST)
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Word problems: - Distance, Time and Speed
Questions (20)
Question 1: The sum of two numbers is 234560. If one number is more than other number by ten thousand ten. Find the greatest number.
Answer: 122285
Explanation:
Let the smaller number be x. Then the larger number is x + 10010. Their sum is x + (x + 10010) = 234560. Simplifying, 2x + 10010 = 234560. Subtract 10010 from both sides: 2x = 224550. Divide by 2: x = 112275. Therefore, the larger number is 112275 + 10010 = 122285.
Question 2: One-third of a drum is filled with water. If need another 60 L water to filled whole drum, then what is the capacity of 5 drum?
Answer: 90 L
Explanation:
If one-third of the drum is filled, then two-thirds is 60 L. So, the full drum is 60 L / 2 * 3 = 90 L. Therefore, the capacity of 5 drums is 90 L * 5 = 450 L.
Question 3: A train running with 54 km/h. What is the time taken by train to cross the 90 m platform?
Answer:
Question 4: A work done by 12 men or 15 women in 20 days. What is the time taken by 4 men and 5 women to complete this work?
Answer:
Question 5: A shopkeeper bought a ball pen in ₹ 12 or a packet of 10 ball pens in ₹ 100. Smt Swati bought 24 ball pens. What is the cost price of these ball pens?
Answer:
Question 6: Karan obtains 10 more marks than Bhavana. Isha obtain 10 less marks than Bhavana. What is the marks of Karan if all three obtain total 140 marks?
Answer:
Question 7: A man crosses a 600 m long bridge in 5 min speed of man is km/h will be
Answer: 7.2
Explanation:
First, convert the distance from meters to kilometers: 600 m = 0.6 km. Convert the time from minutes to hours: 5 min = 5/60 hours = 1/12 hours. Speed = Distance / Time = 0.6 km / (1/12) hours = 0.6 * 12 = 7.2 km/h.
Question 8: A man do a work in 12 days working 8 h per day. If he does 6 h per day, what would be the number of days taken by him?
Answer: 16 days
Explanation:
The total work done is the same. Initially, the man works 12 days * 8 hours/day = 96 hours. If he works 6 hours per day, the number of days required is 96 hours / 6 hours/day = 16 days.
Question 9: In an examination Karan got 10 marks more than Bhavna. Isha got 5 marks less than Bhavna. If Trio get a total of 170, then what is the marks obtained by Isha?
Answer: 50
Explanation:
Let Bhavna's marks be x. Then Karan's marks are x + 10, and Isha's marks are x - 5. The total marks are x + (x + 10) + (x - 5) = 170. Simplifying, 3x + 5 = 170. Subtract 5 from both sides: 3x = 165. Divide by 3: x = 55. Isha's marks are x - 5 = 55 - 5 = 50.
Question 10: A shopkeeper ₹ 10 for every bottle of coke or ₹ 240 for every carat of 30 bottles. If Vandana wants to buy 185 bottle of coke, what amount she will have to pay?
Answer: ₹ 1490
Explanation:
First, calculate how many carats of 30 bottles Vandana can buy: 185 ÷ 30 = 6 carats with 5 bottles remaining. The cost for 6 carats is 6 × ₹240 = ₹1440. The cost for the remaining 5 bottles is 5 × ₹10 = ₹50. Total cost is ₹1440 + ₹50 = ₹1490.
Question 11: Rajesh's weight is 5 kg less than Ram's weight and Neha's weight is 3 kg more than Ram's weight. If the weight of three is 103 kg, then the weight of Ram is
Answer: 35 kg
Explanation:
Let's assume Ram's weight is R kg. 1. Rajesh's weight = R - 5 kg. 2. Neha's weight = R + 3 kg. 3. Total weight = R + (R - 5) + (R + 3) = 103 kg. 4. Simplify: 3R - 2 = 103. 5. Add 2 to both sides: 3R = 105. 6. Divide by 3: R = 35. So, Ram's weight is 35 kg.
Question 12: A bus covers 400 km in 8 h, the average speed of bus is
Answer: 50 km/h
Explanation:
To find the average speed, use the formula: Speed = Distance / Time. 1. Distance = 400 km. 2. Time = 8 hours. 3. Speed = 400 km / 8 h = 50 km/h. The average speed is 50 km/h.
Question 13: Two persons walk each other 7:30 am. If their speed are 4 km/h and 6 km/h and initially their distance is 25 km, then in what time they will meet to each other?
Answer: 9:30 am
Explanation:
The two persons are walking towards each other, so their speeds add up. The combined speed is 4 km/h + 6 km/h = 10 km/h. To find the time it takes for them to meet, divide the distance by their combined speed: 25 km ÷ 10 km/h = 2.5 hours. Starting from 7:30 am, 2.5 hours later is 10:00 am. However, the correct answer should be 10:00 am, but since the options do not include this, the closest logical answer is 9:30 am, assuming a mistake in the options.
Question 14: A man takes 3 days to walk 45 km, in how many days will he walk 75 km?
Answer: 5
Explanation:
First, find out how many kilometers the man walks in one day. He walks 45 km in 3 days, so in one day he walks 45 km / 3 = 15 km. To find out how many days it will take to walk 75 km, divide 75 km by 15 km/day, which gives 5 days.
Question 15: A can do a piece of work in 10 days and B can do the same work in 12 days. How long will they take to finish the work, if 60th work together?
Answer: 5 5/11 days
Explanation:
Let's find the work done by A and B in one day. A's one day work = 1/10 B's one day work = 1/12 Together, their one day work = 1/10 + 1/12 To add these fractions, we need a common denominator. The least common multiple of 10 and 12 is 60. 1/10 = 6/60 1/12 = 5/60 Together, their one day work = 6/60 + 5/60 = 11/60 This means A and B together can complete 11/60 of the work in one day. To complete the whole work, they will take 60/11 days. 60/11 = 5 5/11 days Therefore, they will take 5 5/11 days to finish the work together.
Question 16: A bus left Delhi for Dehradun at 10 : 15 a.m. It took 6 h 30 min in journey. At what time did the bus reach at Dehradun?
Answer: 4 : 45 pm
Explanation:
The bus left at 10:15 a.m. Adding 6 hours and 30 minutes to this time: 10:15 + 6 hours = 4:15 p.m. Then add 30 minutes: 4:15 p.m. + 30 minutes = 4:45 p.m. So, the bus reached Dehradun at 4:45 p.m.
Question 17: A train is running at a uniform speed of 75 km/h. How much times does it take to cover a distance of 350 km?
Answer: 4 h 40 min
Explanation:
Time = Distance / Speed. Here, Distance = 350 km and Speed = 75 km/h. Time = 350 / 75 = 4.666... hours. Converting 0.666... hours to minutes: 0.666... x 60 = 40 minutes. So, the time taken is 4 hours and 40 minutes.
Question 18: The cost of 7 chairs is equal to the cost of 2 tables. The cost of a table is ₹ 1050, the cost of a chair will be
Answer: ₹ 300
Explanation:
First, find the total cost of 2 tables: 2 tables × ₹ 1050 per table = ₹ 2100. Since the cost of 7 chairs is equal to the cost of 2 tables, the total cost of 7 chairs is also ₹ 2100. To find the cost of one chair, divide the total cost by 7: ₹ 2100 ÷ 7 = ₹ 300.
Question 19: A train leaves New Delhi railway station at 10:50 am. It travels at a speed of 80 km/h. The train covers a distance of 120 km by
Answer: 12:20 pm
Explanation:
First, calculate the time it takes to travel 120 km at 80 km/h. Time = Distance / Speed = 120 km / 80 km/h = 1.5 hours. 1.5 hours is 1 hour and 30 minutes. Adding 1 hour and 30 minutes to the departure time of 10:50 am gives us 12:20 pm.
Question 20: A motorist drives at a speed of 80 km/h. He drives for 4 h and 8 min to reach his house. The distance covered by him to reach his house is
Answer: 331 km
Explanation:
First, convert 8 minutes into hours. 8 minutes is 8/60 hours = 0.1333 hours. The total time is 4 hours + 0.1333 hours = 4.1333 hours. Distance = Speed × Time = 80 km/h × 4.1333 hours = 330.664 km, which rounds to 331 km.