Wednesday

August 20, 2014

August 20, 2014

Posted by **Anonymous** on Thursday, February 28, 2013 at 9:09pm.

- Math -
**Reiny**, Thursday, February 28, 2013 at 10:28pmspeed for first leg --- x mph

speed for 2nd leg ---- x+10 mph

time for 1st leg = 150/x

time for 2nd leg = 183/(x+10)

183/(x+10) - 150/x = 3/60 = 1/20

times 20x(x+10)

3660x - 3000(x+10) = x(x+10)

3660x - 3000x - 30000 = x^2 + 10x

x^2 - 650x + 30000 = 0

(x-600)(x - 50) = 0

x = 600 or x = 50

reasonable answer: x = 50 mph for 1st leg

check:

time for 1st leg = 150/50 = 3 hrs

time for 2nd leg = 183/60 = 3.05 hrs

difference = .05 hrs or .05(60) = 3 minutes

2nd answer: x = 600

time for 1st = 150/600 = .25 hrs

time for 2nd = 186/610 = .3 hrs

difference = .3-.25 = .05 hrs = 3 minutes

Unless he was "driving " a jet, let's go with the 50 mph

**Related Questions**

Math (Word Problems) - I need to know how to set up this problem: A salesman ...

math - the time t that it takes for a salesman to drive a certain distance d ...

math - the time t that it takes for a salesman to drive a certain distance d ...

algebra - 1. The time t that it takes for a salesman to drive a certain distance...

algebra - 1. The time t that it takes for a salesman to drive a certain distance...

Math - The time t required to drive afixed distance varies inversely as the ...

Math - If Fred drives 720 miles in 6 hours, how far should he drive in 8 hours...

Algebra - To attend a family reunion, Beth drives 100 mi from Fresno and Clara ...

Solving Rational Equations - To attend a family reunion, Beth drives 100 mi ...

Math - A saleman took 1/2h to drive from Tuas to Bedok at an average speed of ...