Q) A car travelling at 60km/h overtakes another car travelling at 42km/h. Assuming each car to be 5m long. Find the time taken during the overtake.

Asked by banerjee_milky | 6th Jul, 2017, 09:41: PM

Expert Answer:

begin mathsize 12px style Let space the space distance space trvalled space by space the space car space moving space woth space straight a space speed space of space 60 space km divided by straight h space be space straight s subscript 1 space and space
the space distance space trvalled space by space the space car space moving space woth space straight a space speed space of space 42 space km divided by straight h space be space straight s subscript 2.
During space overtaking space
straight s subscript 1 space equals space straight s subscript 2 space plus space 2 space cross times space Length space of space the space car
rightwards arrow straight s subscript 1 space equals space straight s subscript 2 space plus 10 space straight m
or space open parentheses 60 space cross times space 5 over 18 close parentheses straight t space equals space space open parentheses 420 space cross times space 5 over 18 close parentheses straight t space plus 10
rightwards arrow space straight t space equals space 2 space straight s
Time space taken space for space overtakinfg space is space 2 space straight s. end style

Answered by Yashvanti Jain | 7th Jul, 2017, 11:28: AM