Time and Distance and Time and work (UPSC) Part-I

Total Questions: 33

31. Four cars are hired at the rate of ₹ 6 per km plus the cost of diesel at ₹ 40 a litre. In this context, consider the details given in the following table: [2013-II]

Car	Mileage (km/l)	Hours	Total Payment (₹)
A	8	20	2120
B	10	25	1950
C	9	24	2064
D	11	22	1812

Which car maintained the maximum average speed?

(a) Car A
(b) Car B
(c) Car C
(d) Car D

Correct Answer: (a) Car A

Solution:

32. A thief running at 8 km/hr is chased by a policeman whose speed is 10 km/hr. If the thief is 100 m ahead of the policeman, then the time required for the policeman to catch the thief will be [2013-II]

(a) 2 min
(b) 3 min
(c) 4 min
(d) 6 min

Correct Answer: (b) 3 min

Solution:If we consider the difference of speeds, policeman is 2 km/ hr leading speed and he can catch the thief at 100 m

ahead by (100m/2 kmph) = 100/1000 × 2 × 60 = 3 min.

33. A train travels at a certain average speed for a distance of 63 km and then travels a distance of 72 km at an average speed of 6 km/hr more than its original speed. If it takes 3 hours to complete the total journey, what is the original speed of the train in km/hr? [2013-II]

(a) 24
(b) 33
(c) 42
(d) 66

Correct Answer: (c) 42

Solution:Let the original speed = x
Total time taken = 3 hr

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