Solve the following and check with the answers given at the end.

1. 2 hours after a freight train leaves Delhi a passenger train leaves the same station travelling in the same direction at an average speed of 16 km/hr. After travelling 4 hrs the passenger train overtakes the freight train. The average speed of the freight train was?

(a). 30
(b). 40
(c). 58
(d). 60
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2. If a boat is moving in upstream with velocity of 14 km/hr and goes downstream with a velocity of 40 km/hr, then what is the speed of the stream ?

(a) 13 km/hr
(b) 26 km/hr
(c) 34 km/hr
(d) none of these
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3. Two trains move in the same direction at 50 kmph and 32 kmph respectively. A man in the slower train
observes the 15 seconds elapse before the faster train completely passes by him.
What is the length of faster train ?

(a) 100m
(b) 75m
(c) 120m
(d) 50m
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4. I drove 60 km at 30 kmph and then an additional 60 km at 50 kmph. Compute my average speed over my 120 km.
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5. If a car starts from A towards B with some velocity due to some problem in the engine after travelling 30km.If the car goes with 4/5 th of its actuval velocity the car reaches B 45min later to the actual time. If the car engine fails ofter travelling 45km, the car reaches the destination B 36min late to the actual time , what is the initial velocity of car and what is the distance between A and B in km
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6. Two trains are travelline at equilateral .Train A is travelling in the direction of earths spin.Other train B is travelling in opposite direction of earths spin.Which trains wheels will wear first?and why?
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7. A person, who decided to go to weekend trip should not exceed 8 hours driving in a day. Average speed of forward journey is 40 m/h. Due to traffic in Sundays, the return journey average speed is 30 m/h. How far he can select a picnic spot?

a) 120 miles
b) Between 120 and 140 miles
c) 160 miles
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8. A person was fined for exceeding the speed limit by 10mph. Another person was also fined for exceeding the same speed limit by twice the same. If the
second person was traveling at a speed of 35 mph, find the speed limit.
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9.A bus started from bus stand at 8.00am, and after 30 minutes staying at
destination, it returned back to the bus stand. The destination is 27 miles from
the bus stand. The speed of the bus is 18mph. In return journey bus travels
with 50% fast speed. At what time it returns to the bus stand?
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10. A train goes from a to b. If it travels with 50 km/s then it is late by 10 mins. When it travels with30km/s then it is late by 50 mins. Find the distance between a and b.
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ANSWERS:

Ans 1. B
Ans 2. A
Ans 3: B
Ans 4: 37 1/2
Explanation : Time reqd for the first 60 km = 120 min.; Time reqd for the second 60 km = 72 min.; Total time reqd = 192 min
Avg speed = (60*120)/192 = 37 1/2
Ans 5. 20 & 130.
Ans 6:TRAIN B .Because of less centrifugal force.
Ans 7: 120 miles
Ans 8: Let ‘x’ be the speed limit

Person ‘A’ was fined for exceeding the speed limit by = 10mph
Person ‘B’ was fined for exceeding the speed limit by = twice of ‘A’
= 2*10mph=20mph
given that the second person was traveling at the speed of 35mph

=> 35mph – 20mph = 15mph
Therefore the speed limit is =15 mph
Ans 9: 11.00am