SOLUTION: A man cycles to a friend's house at 12 mph and arrives 1 hour late. Next day he travels at 16 mph and arrives 1 hour early. What speed must he travel to arrive on time?

Question 936042: A man cycles to a friend's house at 12 mph and arrives 1 hour late.
Next day he travels at 16 mph and arrives 1 hour early.
What speed must he travel to arrive on time?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = correct travel time
y = distance to friend's house
---
s = d/t
t = d/s
---
late:
x + 1 = y/12
12x + 12 = y
---
early:
x - 1 = y/16
16x - 16 = y
---
put the system of linear equations into standard form
---
12x - y = -12
16x - y = 16
---
copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
solution:
x = correct travel time = 7
y = distance to friend's house = 96
---
answer:
s = d/t
s = 96/7
s = 13.7 mph
---
Free algebra tutoring live chat:
https://sooeet.com/chat.php?gn=algebra
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations with quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
RELATED QUESTIONS
a man travels from home to work 60 mph and arrives 1 hour early. He travels the same... (answered by josgarithmetic,MathTherapy)

Hi A man cycles to a place at 10km per hour and arrives at 1 pm. If he cycles at 15km... (answered by ikleyn)

If Paul drives at 60 mph to work and arrives 1 hour early. But when he drives at 40 mph... (answered by solver91311,Edwin McCravy)

A train running between two towns arrives at it's destination 10 mins late when it... (answered by josgarithmetic)

A cross-country skier practices the same route from his home to his friend’s home and... (answered by ikleyn,VFBundy)

Mr. Pillot always rides his bicycle to work, and he begims his ride at the same time... (answered by Alan3354)

A boy walks from his house to school at 2.5km/h and arrives 12 minutes late. The next... (answered by ankor@dixie-net.com)

A girl walks up a mountain at 6 mph and arrives at 1pm, she walks another day up the same (answered by ankor@dixie-net.com)

Stephanie and her friend, Paula, are waiting for a shuttle to take them to their terminal (answered by ankor@dixie-net.com)