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a. Amish = 10 days; Brijesh = 50 days

b. Amish = 15 days; Brijesh = 75 days

c. Amish = 20 days; Brijesh = 80 days

d. Amish = 20 days; Brijesh = 100 days

**Answer:** b. Amish = 15 days; Brijesh = 75 days

**Explanation:**

Speed of Work / Efficiency ∝ | 1 |

Time needed |

Let us denote Amish by 'A' and Brijesh by 'B'

Hence, if A is 5 times faster than B, then B needs 5 times more time than A.

Let A need 'n' days to complete the work.

So B will need 5n days.

Also, 5n – n = 60 ------------------- Given

∴ n = 15 days = Days needed by A to complete work individually

a. 3 days

b. 6 days

c. 7.5 days

d. 8 days

**Answer:** d. 8 days

**Explanation:**

24 men complete work in 10 days.

∴ In 1 day work done by 24 men = | 1 |

10 |

∴ ? x 24 = | 1 | x 30 |

10 |

∴ ? = | 1 | = Amount of work done by 30 men in one day |

8 |

Tip:

If A completes work in 'n' days, in 1 day he completes | 1 | amount of work. |

n |

Conversely, if A completes | 1 | amount of work in 1 day, he completes entire work in 'n' days. |

n |

Thus in this case,

a. | 15 | Days |

16 |

b. | 11 | Days |

10 |

c. | 14 | Days |

9 |

d. | 16 | Days |

7 |

Answer: c. | 14 | Days |

9 |

A can do the work in 3 days. So in 1 day A does | 1 | amount of work |

3 |

B takes double the time as A. So, B can do the work in 6 days. So, in 1 day B does | 1 | amount of work |

6 |

So, in 1 day C does | 1 | amount of work |

7 |

In one day - A, B and C together complete = | 1 | + | 1 | + | 1 | = | 9 | amount of work |

3 | 6 | 7 | 14 |

Tip:

If A completes | 1 | amount of work in 1 day, he completes entire work in 'n' days. |

n |

A, B and C together complete the entire work in | 14 | days. |

9 |

a. 9 | 3 | days |

4 |

c. 10 | 2 | days |

3 |

d. 11 | 1 | days |

4 |

Answer: c. 10 | 2 | days |

3 |

Let us denote Pam by 'P', Ken by 'K' and Ron by 'R'

P + K can do the work in 12 days. So, in 1 day they do | 1 | amount of work |

12 |

K + R take four days more than P + K. So, they do the work in 16 days. So, in 1 day they do | 1 | amount of work |

16 |

R + P can do the work in 3 week and 3 days, which is 24 days. So, in 1 day they do | 1 | amount of work |

24 |

Adding these, (P+K)+(K+R)+(R+P) = | 1 | + | 1 | + | 1 | = | 3 |

12 | 16 | 24 | 16 |

∴ 2(P+K+R) = | 3 |

16 |

P+K+R = | 3/16 | = | 3 | = Work done in 1 day by P, K and R together |

2 | 32 |

Tip:

If A completes | 1 | amount of work in 1 day, he completes entire work in 'n' days. |

n |

P, K and R together complete the entire work in | 32 | days. = 10 | 2 | days |

3 | 3 |

a. 20 days

b. 24 days

c. 22.5 days

d. 37.5 days

**Answer:** b. 24 days

**Explanation:**

April has 30 days. So Pramod takes 30 days to build the pavement.

Kishan is 25% faster than Pramod

25% = | 25 | = 0.25 |

100 |

Pramod takes 30 days to do the work.

Kishan will take = | 30 | = 24 days to get the work done |

1.25 |