Speed Time & Distance Question Answers

Quant/Math - CAT 2008

Question 4 the day: February 23, 2004

The question for the day is based on some basic Speed, Time and Distance concepts.

Jim travels the first 3 hours of his journey at 60 mph speed and the remaining 5 hours at 24 mph speed. What is the average speed of Jim's travel in mph?

(1)	42 mph			(2)	36 mph
(3)	37.5 mph			(4)	42.5 mph

Correct Answer - (3)

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Solution:

Average speed =Total Distance/Total Time .

Total distance traveled by Jim = Distance covered in the first 3 hours + Distance covered in the next 5 hours.

Distance covered in the first 3 hours = 3 * 60 = 180 miles
Distance covered in the next 5 hours = 5 * 24 = 120 miles

Therefore, total distance traveled = 180 + 120 = 300 miles.

Total time taken = 3 + 5 = 8 hours.

Average speed =300/8= 37.5 mph.