Aptitude Discussion

Q. |
A and B working together can finish a job in T days. If A works alone and completes the job, he will take T+5 days. If B works alone and completes the same job, he will take T+45 days. What is T? |

✖ A. |
25 Days |

✖ B. |
60 Days |

✔ C. |
15 Days |

✖ D. |
None of these |

**Solution:**

Option(**C**) is correct

When $A$ and $B$ work together, they will take $\sqrt{5}×15=\sqrt{225}=$ **15 days**.

Where 5 and 45 are the extra time that $A$ and $B$ take to complete the job if they work alone compared to the time that they will take if they worked together.

**Vaibhav Gupta**

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It can also be solved by solving this equation

1/T+5 +1/T+45 =1/T

T=25