SOLUTION: A driver travels 12 miles to work at a constant speed and travels the same distance home also at a constant speed. His speed on the trip home is 10 miles per hour faster than the t

Question 262716: A driver travels 12 miles to work at a constant speed and travels the same distance home also at a constant speed. His speed on the trip home is 10 miles per hour faster than the trip to work and the total time for both trips is 1 hours. Find his speed on the way to work.
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
This is an RTD problem. Here is a table based on the given information:
Driver . . . . . . . .rate . . . . . . . . time . . . . . . . .distance
work. . . . . . . . . R. . . . . . . . . . . .T. . . . . . . . . . . .12 . .
home. . . . . . . . .R+10 . . . . . . . . 1-T. . . . . . . .. 12. . .
totals. . . . . . . . . . . . . . . . . . . . .1 . . . . . . . . . . . . . .
we have the equation
rt = d
solve this for t and we get
t = d/r
From above,

and

So,

The sum of the times = 1 hr, so

step 1 - multiply by the common denominator of R(R+10) to get

step 2 - distribute to get

step 3 - combine like terms on the left to get

step 4- setting = 0, we get

step 5 - factoring, we get

step 6 - solved for R we get
R = 20
or
R = -7
--
So, R = 20 mpg on the way to work
RELATED QUESTIONS
A driver travels 10 miles to work at a constant speed and travels the same distance home... (answered by stanbon)

Please help me solve this. I first got 27 but i then tried the equation {{{30=(x+16)/2}}} (answered by ankor@dixie-net.com)

A cyclist bikes at a constant speed for 17 miles. He then returns home at the same speed... (answered by ankor@dixie-net.com)

A driver moving at a constant speed sees a log in the road, but it takes time for her to... (answered by josmiceli)

Andrew travels at a constant speed . he travels 325km in 2 and half hours . what is his... (answered by Alan3354,stanbon)

A driver travels from town A to town B at a constant speed, and then from town B to town... (answered by ankor@dixie-net.com)

A car travels 140 miles in 2 hours at constant speed. What was the... (answered by robertb)

Alex takes (2p -3) hours to travel from his home to school. The distance between Alex's... (answered by ikleyn)

An airplane flies at a constant speed and travels a distance of 360 miles in 45... (answered by Alan3354,stanbon)