Let's denote the time it takes for Marco to build a laptop alone as M and for Cliff as C.

From the problem, we know that Marco can build a laptop twice as fast as Cliff, so we can write this relationship as M = C/2.

We also know that when they work together, they can build a laptop in 5 hours. The rate of work done is the reciprocal of the time taken, so when working together, their combined rate is 1/M + 1/C = 1/5.

Substituting M = C/2 into the equation gives us 1/(C/2) + 1/C = 1/5. Simplifying this gives us 2/C + 1/C = 1/5, which further simplifies to 3/C = 1/5.

Solving for C gives us C = 15 hours.

Since M = C/2, then M = 15/2 = 7.5 hours.

So, it would have taken Marco 7.5 hours to build the laptop alone.

Question

Let's denote the time it takes for Marco to build a laptop alone as M and for Cliff as C.

From the problem, we know that Marco can build a laptop twice as fast as Cliff, so we can write this relationship as M = C/2.

We also know that when they work together, they can build a laptop in 5 hours. The rate of work done is the reciprocal of the time taken, so when working together, their combined rate is 1/M + 1/C = 1/5.

Substituting M = C/2 into the equation gives us 1/(C/2) + 1/C = 1/5. Simplifying this gives us 2/C + 1/C = 1/5, which further simplifies to 3/C = 1/5.

Solving for C gives us C = 15 hours.

Since M = C/2, then M = 15/2 = 7.5 hours.

So, it would have taken Marco 7.5 hours to build the laptop alone.

Knowee AI · Accepted Answer

Let's denote the time it takes for Marco to build a laptop alone as M and for Cliff as C.

From the problem, we know that Marco can build a laptop twice as fast as Cliff, so we can write this relationship as M = C/2.

We also know that when they work together, they can build a laptop in 5 hours. The rate of work done is the reciprocal of the time taken, so when working together, their combined rate is 1/M + 1/C = 1/5.

Substituting M = C/2 into the equation gives us 1/(C/2) + 1/C = 1/5. Simplifying this gives us 2/C + 1/C = 1/5, which further simplifies to 3/C = 1/5.

Solving for C gives us C = 15 hours.

Since M = C/2, then M = 15/2 = 7.5 hours.

So, it would have taken Marco 7.5 hours to build the laptop alone.

Marco can build a laptop twice as fast as Cliff. Working together, it takes them 5 hours. How long would it have taken Marco working alone?Write your answer as a decimal.

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