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Question
P and Qare towns. A man drives from P to Q at an average speed of 50 km/h. He stop at Q for 4 hours and then heads back to P at an average speed of 40 km/h following the same route. What is his average speed (in km/ h correct to two decimal places) if he takes 22 hours for the entire trip?
Options
48.48
45.00
36.36
42.42
MCQ
Solution
36.36
Explanation:
Let distance from ‘P’ to ‘Q’ is x km.
Time = `"Distance"/"Speed"`
A.T.Q,
⇒ 18 = `x/50 + x/40`
⇒ 18 = `(9x)/200`
∴ `x` = 400 km
Total distance in entire journey = 800 km
Total time during journey = 22 hr
Average velocity = `800/22 = 400/11` = 36.36
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Time, Speed and Distance (Entrance Exam)
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