Posted by **Stella** on Sunday, April 22, 2012 at 3:36pm.

During the first part of a trip, a canoeist travels 57 miles at a certain speed. The canoeist travels 13 miles on the second trip at a speed 5 mph slower. The total time for the trip is 5 hrs. what was the speed on each part of the trip?

The speed on the first part is?

The speed on the second part is? Someone was kind enough to help, but it did not work into the equation. Help? Please..

- Algebra -
**Henry**, Tuesday, April 24, 2012 at 7:46pm
V1 = X mi/h on 1st part of trip.

t1 = d1/V1 = 57 / X hrs.

t2 = d2/V2 = 13 / (x-5) hrs.

t1 + t2 = 5 hrs.

57/x + 13/(x-5) = 5.

Multiply both sides by x(x-5).

57(x-5) + 13x = 5x(x-5).

57x - 285 + 13x = 5x^2 - 25x.

-5x^2 + 57x +13x +25x = 285.

-5x^2 + 95x = 285.

-5x^2 + 95x - 285 = 0.

Divide both sides by -5:

x^2 - 19x + 57 = 0.

Use Quadratic Formula.

X = 15.3 mi/h = Speed on 1st part of trip.

x-5 = 15,3-5 = 10.3 mi/h = Speed on 2nd

part of trip.

## Answer This Question

## Related Questions

- Algebra - During the first part of a trip, a canoeist travels 98 miles at a ...
- algebra - during the first part of a trip a canoeist travels 64 miles at a ...
- algebra - During the first part of a trip, a canoeist travels 69 miles at a ...
- ALGEBRA - DURING THE FIRST PART OF A TRIP, A CANOEIST TRAVELS 35 MILES AT A ...
- algebra - Can someoe please help me figure this out? During the first part of a ...
- algebra 2 - During the first part of a trip a canoeist travels 26 miles at a ...
- algebra - During the first part of a trip, a canoeist travels 69 miles at a ...
- MAT117 - During the first part of a trip, a canoeist travels 68 miles at a ...
- Algebra - During the first part of a trip, a canoeist travels 28 miles at...
- math - During the first part of a trip, a canoeist travels 93 miles at a certain...

More Related Questions