Question

Two towns P and Q are 200 km apart. Bus X starts from Town P and Bus Y starts from Town Q at the same time. If the two buses travel towards each other, they meet after 2 hours. If they travel in the same direction, they cross each other after 8 hours. Complete the following statements: (Assume that the speeds of the two buses are uniform.) find the speeds of bus x and bus y

Answer 1

when they meet first time they both combined have traveled entire distance say x, out of which Q travels 22..

when they meet second time, a total of 2 time the entire distance over and above the initial has been covered, so 3x..

If Q covers 22 in x, it will cover 3*22 = 66 in 3x..

But they meet 10 kms from A, so Q has traveled x+10...

x+10=66...x=56