Posted by **Please help** on Thursday, January 27, 2011 at 9:53pm.

A refrigerated truck leaves a rest stop traveling at a steady rate of 56 mi/h. A car leaves the same rest stop 1/4 h later followinf rhe truck at a steady rate of 64 mi/h. How long after the truck leaves the rest stop wil the car overtake the truck. In algebra form.

- Math -
**Reiny**, Thursday, January 27, 2011 at 9:58pm
When the car overtakes the truck, they both would have traveled the same distance, except the truck took 1/4 hour longer

let the time taken by the car be x hours

then the time taken by the truck is x+1/4 hour

distance gone by car = 64x

distance gone by truck = 56(x+1/4)

but didn't we say those distances would be equal?

let me know what you got

- Math -
**Please help**, Thursday, January 27, 2011 at 10:04pm
-2 but is that for the truck or car

- Math -
**helper**, Friday, January 28, 2011 at 12:21am
The time x cannot be negative. You must have made a mistake.

The two equations are,

distance gone by car = 64x

distance gone by truck = 56(x+1/4)

Since the distances are equal,

64x = 56(x + 1/4)

64x = 56x + 56/4

64x = 56x + 14

8x = 14

x = 1.75

From above (Reiny's explanation)

Since x = time taken by the car in hours, the car will overtake the truck in 1.75 hrs.

- Math -
**steven**, Tuesday, March 1, 2011 at 10:44pm
A computer costs $799. To add memory it costs $25 for 8 megabytes. How much memory can you add if you have at most $1,000 to spend.

- Math -
**Monica**, Thursday, December 11, 2014 at 11:48pm
It will be 2 hours u til the car catches up tot the truck.Sorry, I don't have the work. :(

## Answer this Question

## Related Questions

- algebra - A refrigerated truck leaves a rest stop traveling at a steady rate of ...
- Math - A truck traveling at an average rate of 45 miles per hour leaves a rest ...
- algebra - Truck A leaves a truck stop traveling at 80 km/hr. Four hours later, ...
- math - At 9:00 a.m. a truck leaves the truck yard and travels west at a rate of ...
- physics - A truck is traveling with a uniform velocity 24 m/s, when it passes a ...
- Physics - Read each statement below. For each situation, calculate vi, vf, pi, ...
- Algebra - A tourist bus leaves Richmond at 1:00 P.M. for New York City. Exactly ...
- Pre-Algebra - A Jet airplane leaves an airport traveling at a steady rate of ...
- Math - A jet leaves an airport traveling at a steady rate of 600 km/h. Another ...
- math - A truck leaves going 45 mph. One hour later a car going 60 mph leaves in ...

More Related Questions