Find the distance he travels at each rate.

Question

A motorist travels 160 km in 5 hours . He travels part of the distance at 38 km an hour and the rest at 28 km per hour . Find the distance he travels at each rate.

Answer 1

distans=160, time=5 ours

rate1=38 per, rate2=28 per

time1=dist1/38

time2=dist2/28=(160-dist1)/28

time1+time2=5 ours

(dist1/38) +(160-dist1)/28=5

28*dist1 +160*38 -38*dist1=5*1064=5320

(28-38)dist1 +6080=5320

-10*dist1=5320-6080=-760

dist1=76

dist2=160-76=84