Question 979692

Ramu travel to his home with speed of 5k/h he will reach 3 minutes late.if he go with speed of 6k/h he will reach 7minutes early.what is the distance he traveling?
<pre>Let distance be D
At 5 km/h, it took him a time of {{{D/5}}} to get home
At 6 km/h, it took him a time of {{{D/6}}} to get home
Since a time of {{{D/5}}} makes him 3 minutes late, then "on-time" time = {{{D/5 - 3/60}}}, or {{{D/5 - 1/20}}}
Since a time of {{{D/6}}} makes him 7 minutes early, then "on-time" time = {{{D/6 + 7/60}}}
Setting "on-time" times equal, we get: {{{D/5 - 1/20 = D/6 + 7/60}}}
12D - 3 = 10D + 7 ----------- Multiplying by LCD, 60
12D - 10D = 7 + 3
2D = 10
D, or distance = {{{10/2}}}, or {{{highlight_green(5)}}} km