A person goes to his office from his home daily at a fixed speed. But today he decided to reduce his speed by 20% as a result he reaches his office 16 minute late. What 's the actual/original time he takes to reach his office daily

Asked by Anil | 28th May, 2017, 06:50: PM

Expert Answer:

begin mathsize 12px style Let space the space distance space between space the space home space and space office space be space straight d.
Initially space the space person space travels space with space speed space straight v subscript 1 space left parenthesis say right parenthesis space in space time space straight t subscript 1.
New space speed space is
straight v subscript 2 equals straight v subscript 1 minus 20 percent sign straight v subscript 1 equals straight v subscript 1 minus 20 over 100 straight v subscript 1 equals 4 over 5 straight v subscript 1
New space time space taken space is
straight t subscript 2 equals straight t subscript 1 plus 16 space minutes

As space the space distance space travelled space is space same
straight v subscript 1 straight t subscript 1 equals straight v subscript 2 straight t subscript 2
down diagonal strike straight v subscript 1 end strike straight t subscript 1 equals 4 over 5 down diagonal strike straight v subscript 1 end strike cross times open parentheses straight t subscript 1 plus 16 close parentheses
therefore 5 straight t subscript 1 equals 4 straight t subscript 1 plus 64
therefore straight t subscript 1 equals 64 space minutes end style

Answered by Romal Bhansali | 29th May, 2017, 12:41: PM