# Math

posted by .

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 -

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 -

-2 but is that for the truck or car

• Math -

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 -

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 -

It will be 2 hours u til the car catches up tot the truck.Sorry, I don't have the work. :(

• Math -

relative speed=64-56
=8mi/h
distance travelled by truck for 1/4h
=s*t=56*1/4=14mi
time spent by car in overtaking
t=d/s=14/8
=1.75hrs

## Similar Questions

1. ### Pre-Algebra

A Jet airplane leaves an airport traveling at a steady rate of 600km/h. another jet leaves the same airport 3/4h later traveling at 800km/h in the same derection. how long will the 2nd jet take to overtake the first?
2. ### math

At 9:00 a.m. a truck leaves the truck yard and travels west at a rate of 45 mi/hr. Two hours later, a second truck leaves along the same route, traveling at 55 mi/hr. When will the second truck catch up to the first?
3. ### algebra

Truck A leaves a truck stop traveling at 80 km/hr. Four hours later, truck BB leaves the same truck stop traveling in the same direction at 90 km/ hr. How long does it take truck B to catch up to truck A?
4. ### Math

A jet leaves an airport traveling at a steady rate of 600 km/h. Another jet leaves the same airport 3/4 hr later taveling at 800 km/\$ in the same direction. How long will it take the second jet to overtake the first.
5. ### Physics

Read each statement below. For each situation, calculate vi, vf, pi, pf, the impulse vector F􏰁t, and the amount of force needed for the change to occur. All situations refer to a truck with a mass of 2840 kg. 1. The truck …
6. ### physics

A truck is traveling with a uniform velocity 24 m/s, when it passes a car at rest, at this instant the car starts to move and accelerate at the rate of 6m/s^2 in the same direction as the truck. a.) How long will it take the car to …
7. ### Algebra

A tourist bus leaves Richmond at 1:00 P.M. for New York City. Exactly 24 minutes later, a truck sets out in the same direction. The tourist bus moves at a steady 60km/h. The truck travels 80km/h. How long did it take the truck to overtake …
8. ### Math

A truck traveling at an average rate of 45 miles per hour leaves a rest stop. Fifteen minutes later a car traveling at an average rate of 60 miles per hour leaves the same rest stop traveling the same route. How long will it take for …
9. ### algebra

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 hours later following the truck at a steady rate of 64 mi/h. How long after the truck leaves the rest stop will the …
10. ### math

A truck leaves going 45 mph. One hour later a car going 60 mph leaves in same direction. How long will it take for the car to catch the truck.

More Similar Questions