31). Diameter of the front wheel and hind wheel of a van are 70 cm and 98 cm respectively. How many more revolutions the front wheel will make when the hind wheel in going over a distance of 154 kms?
A). 10000
B). 15000
C). 20000
D). 25000
View Answer
Correct Answer: 20000
\( \Large n_{1}c_{1}=154 km \)
\( \Large n_{1} \times \frac{22}{7} \times 98 cm = 15400000 cm \)
\( \Large n_{1}=70000 \)
\( \Large and \ n_{1}c_{2}=154 km \)
\( \Large n_{2} \times \frac{22}{7} \times 98 cm = 154000000 cm \)
\( \Large n_{2} = 50000 \)
\( \Large n_{1} - n_{2} = 20000 \)
32). Two men X and Y start from a place P , walking at 3 kms/hr, and 4 kms/hr. By how much distance apart they will be after 4 hours if they are walking in the same direction?
A). 4 kms
B). 3 kms
C). 2 kms
D). 1 kms
View Answer
Correct Answer: 4 kms
\( \Large d = v \times t \)
\( \Large = \left(4 - 3\right) \times 4 = 4 km \)
33). In the above question, what will be the distance between them after 5 hours if they walk in opposite directions?
A). 35 kms
B). 14 kms
C). 21 kms
D). 28 kms
View Answer
Correct Answer: 35 kms
\( \Large d = \left(4 + 3\right) \times 5 = 35 km \)
34). A car is stolen at 4.00 am the thief drives it towards north at a Speed of 50 km/hr. The theft is discovered at 4.30 am. and a police jeep is set towards north at 60 kms/hr. At what time did the jeep will overtake the car?
35). A student goes to his school from his house walking at 4 km/hr. and reaches his school 10 min. late Next day starting at same the time he walks at 6 kms/ hr and reaches his school 15 minutes early. How far is the school from the house?
37). A person goes from a place A to another place B at speed of 4 km/h and returns at a speed of 3 km/h. If the takes 7 h in all, then what is the distance between the two places?
A). 12 km
B). 8 km
C). 6 km
D). 5 km
View Answer
Correct Answer: 12 km
\( \Large Time \ taken = \frac{Distance}{Speed} \)
Let distance travel be x km.
\( \Large 7 = \frac{x}{4} + \frac{x}{3} \)
\( \Large = \frac{x \left(3+4\right) }{12} \)
\( \Large = \frac{7x}{12} \)
\( \Large x = 12 km \)
38). A car covers 300 km in 15 h. Find the speed of the car.
A). 20 km/h
B). 25 km/h
C). 15 km/h
D). 24 km/h
View Answer
Correct Answer: 20 km/h
We know that, speed = Distance/Time
Therefore, Required speed = 300/15 = 20 km/h
39). A car covers a distance of 690 km in 30 h. What is the average speed of the car?