In a 1000 metre race, Rahul reaches the finishing line 5 seconds before than Raj and beats Raj by 50 metre. What is Rahul's speed (in m/s)?
Let speed of Raj be v1 and speed of Rahul be v2
Now Rahul reaches 5 seconds before Raj and beats him by 50m
so Raj covers 50m in 5 seconds
so v1 = 10m/s
Now When Raj covers 950m Rahul covers 1000m (in the same time )
so we get $$\frac{v1}{v2}=\frac{1000}{950}$$
v1 =$$\frac{200}{19}\ =10\ \frac{10}{19}\ $$ m/sec
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