What is the speed of a train if it overtakes two persons who are walk…

Question

What is the speed of a train if it overtakes two persons who are walking in the same direction at the rate of a m/s and (a + 1) m/s and passes them completely in b seconds and (b + 1) seconds respectively?

Accepted Answer

Option B. (a + b + 1) m/s. Answer & Solution Answer: Option B Solution: & Let the length of the train be x metres & and its speed be y m/s & Then, & xy - a = b\,\, and\, & \, xy - ( a + 1 ) = ( b + 1 ) & x = b ( y - a ) and & \,\,\,\,\,\,\,\,\,\, x = ( b + 1 ) ( y - a - 1 ) & b ( y - a ) = ( b + 1 ) ( y -…