Question : A gives B a head-start of 10 seconds in a 1500 m race and both finish the race at the same time. What is the time A takes (in minutes) to finish the race if the speed of B is 6 m/s?
Option 1: 3
Option 2: 4
Option 3: 8
Option 4: 5
Correct Answer: 4
Solution :
Time taken by B to finish the race = $\frac{1500}{6}$ = 250 seconds
Given A gives a head start of 10 seconds to B.
$\therefore$ Time taken by A to finish the race = 250 – 10 = 240 seconds
Now, 240 seconds = $\frac{240}{60}$ = 4 minutes
Hence, the correct answer is 4.
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