In a 100m race, A beats B by 20m or 5 seconds, Find the speed of A (1

1.	In a 100m race, A beats B by 20m or 5 seconds, Find the speed of A (1) 5 m/sec (2) 4 m/sec (3) 6m/sec (4) 8 m/sec
Answer» (1) 5 m/sec Speed of A = a m/s Speed of B = b m/s ∴ 100/b - 100/a = 5 and 80/b = 100/a = a/b = 5/4 ⇒ b = 4a/5 \(\cfrac{100}{\frac{4a}{5}}\) - \(\frac{100}{a}\) = 5 Solving, we get a = 5 m/s

In a 100m race, A beats B by 20m or 5 seconds, Find the speed of A (1) 5 m/sec (2) 4 m/sec (3) 6m/sec (4) 8 m/sec

Answer»

(1) 5 m/sec

Speed of A = a m/s

Speed of B = b m/s

∴ 100/b - 100/a = 5 and 80/b = 100/a

= a/b = 5/4 ⇒ b = 4a/5

\(\cfrac{100}{\frac{4a}{5}}\) - \(\frac{100}{a}\) = 5

Solving, we get a = 5 m/s

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