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In a one-kilometre race A, B and C are the three participants. A can give B a start of 50 m and C a start of 88 m. The start, which B can allow C is

In a one-kilometre race A, B and C are the three participants. A can give B a start of 50 m and C a start of 88 m. The start, which B can allow C is Correct Answer 40 m

Given:

In a one-kilometre race A, B and C are the three participants.

Formula used:

Speed = distance/time

Calculations:

Let the time taken to complete the race by A be x minutes

So the speed of A = 1000/x

According to question 

Distance covered by B in x minutes = 1000 – 50 = 950

The speed of B = 950/x

Similarly, The speed of C = (1000 – 88)/x = 912/x

Now, the time taken to complete the race by B = 1000/(950/x)

⇒ 1000 × (x/950)

Distance travelled by C in (1000x/950) minutes = (912/x) × (1000x/950)

⇒ 960 m

B can allow C = 1000 – 960 = 40 m

∴ In one kilometre raceB can give 40 metre start to C 

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