a race of 1 km, Abdul beats Bilal by 25 seconds, who beats Faheed by 75 seconds. If Bilal and Faheed run an 800 m race, then Bilal would beat Faheed by 300 metres Find the time taken by Abdul to run a 800 m race ?
100 seconds
80 seconds
75 seconds
50 seconds
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1
Hey Mate!!
This is the answer
Let A be Abdul's speed (in m/s).
Let B be Bilal's speed (in m/s).
Let F be Fahid's speed (in m/s).
Then the condition says:
1000/B- 1000/A = 25 (1)
1000/F- 1000/B = 75 (2)
The third condition says that Bilal runs 800 m at the same time as Faheed runs 500 m.
It means that the ratio of Bilal speed to Faheed speed is 8/5:
B/F = 8/5. (3)
Now, from equations (2) and (3) you can find B and F.
Then, knowing and having B, you can calculate/find A from the equation .
Having A, you will be able to answer the problem's question.
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