twin-engine plane goes 800 mi while single-eng. goes 600 mi

[Exquisite]

Can someone show me how to do this question please, with the correct answer. Thank you very much!

Q. A twin-engine plane can fly 800 mi in the same time that it takes a single-engine plane to fly 600 mi. The rate of the twin-engine plane is 50 mph faster than that of the single-engine plane. Find the rate of the twin-engine plane.

 

[stapel]

Can someone show me how to do this question please, with the correct answer. Thank you very much!

Legitimate tutors don't generally "do" students' work for them or give out the answers, but we are happy to work with you! :wink:

Q. A twin-engine plane can fly 800 mi in the same time that it takes a single-engine plane to fly 600 mi. The rate of the twin-engine plane is 50 mph faster than that of the single-engine plane. Find the rate of the twin-engine plane.

You might try using the standard "distance word problem" set-up:

. . .twin-engine:
. . . . .distance: 800
. . . . .rate: r
. . . . .time: 800/r

. . .single-engine:
. . . . .distance: 600
. . . . .rate: r - 50
. . . . .time: ??

Complete the table. Then, since the times were the same, set the "time" expressions equal to one another, and solve the resulting equation. :idea:

If you get stuck, or are unsure of your steps or solution, please reply showing all of your work and reasoning. Thank you!

Eliz.