Question 468210
A trucker traveled 160 miles in one direction during a snow storm. The return trip in rainy weather was accomplished at double the speed and took 5 hours less time. Find the speed going
------------
1st leg DATA:
distance = 160 miles ; rate = r mph ; time = d/r = 160/r hrs
---------------------
Return leg DATA:
distance = 160 miles ; rate = 2r mph ; time = 160/(2r) hrs
--------------------
Equation:
1st time - 2nd time = 5 hrs
----
160/r - 160/(2r) = 5 hrs
-----
Multiply thru by 2r to get:
320 -160 = 10r
---
160 = 10r
r = 16 mph (1st leg speed)
----
2r = 32 mph (2nd leg speed)
=============================
Cheers,
Stan H.
==============