Carnot engine rejected heat problem

[Nimbalo]

Homework Statement

From the hot reservoir at a temperature of T1, Carnot Engine A takes an input heat of 5550J, delivers 1750J of work and rejects heat to a cold reservoir that has a temperature of 503K. This cold reservoir also serves as the hot reservoir for a second Carnot Engine, B, which uses the rejected heat from the first engine as input heat. Engine B also delivers 1750J of work, while rejecting heat to an even colder reservoir that has a temperature T2. Find T1 and T2.

Homework Equations

e=1-Tc/Th
e=W/Qh

The Attempt at a Solution

I plugged in my values into the e=1-Tc/Th and e=W/Qh equations to solve for the Th, or T1. As an answer, I got 734.3K. However, I'm missing a variable for my second Carnot engine. What is the input heat for engine B? I tried doing 734.3-503K, but that gives me answers in K and makes the equation not work. I don't know what I'm supposed to use for the input heat.

 

[Redbelly98]

Welcome to PF

What is the input heat for engine B?

It's the same as the output heat from engine A:

... a second Carnot Engine, B, which uses the rejected heat from the first engine as input heat.

Engine A has 5550 J of input heat. Of that 5550 J energy, 1750 J is used to do work. The remaining energy has to go somewhere (conservation of energy) ...

 

[copitlory8]

so what does this mean? what do i do with the conservation of energy?

 

[Redbelly98]

what do i do with the conservation of energy?

Equate the input energy with the total output energy.

Q_in = W + Q_out​

If you need more help with the problem, you will have to show how far you have gotten and the work you have done.