Question

Abc have to type a document of 464 pages a can type 1 page in 16 minutes b in 20 minutes c in 32 minutes if they divide the document into three parts so that all three of them spent equal amount of time and finishing the task what is the number of pages that b should type

Answer 1

Q: A, B and C have to type a document of 464 pages. A can type 1 page in 16 minutes B in 28 minutes C in 32 minutes. If they divide the document into three parts so that all three of them spent equal amount of time and finishing the task. What is the number of pages that B should type?

Solutions :-

Given :
A, B and C have to type a document of 464 pages.

A can type 1 page in 16 minutes.

B can type 1 page in 28 minutes.

C can type 1 page in 32 minutes.

(A + B + C)'s 1 minute work = 1/16 + 1/28 + 1/32
= (14 + 8 + 7)/224
= 29/224

29/224 work take time = 1 minute
∴ 1 work takes time = 224/29 minutes
∴ 464 work take time = (224 × 464)/29 = 3584 minutes

B's 1 minute work = 1/28
B's 3584 minutes work = 3584/28 = 128


Hence,
B can type 128 pages

Answer 2

Answer:

128 pages

Step By Step Explanation:

Given that;

A, B and C have to type a document of 464 pages.

A, B & C can type 1 page in 16, 28 & 32 minutes respectively.

Now,
1 minute work of (A + B + C) :

⇒ 1/16 + 1/28 + 1/32
⇒ (14 + 8 + 7)/224
⇒ 29/224

So, 29/224 work takes time 1 minute.

∴ 1 work takes time = 224/29 minutes

∴ 464 work take time :
⇒ (224 × 464)/29
⇒ 3584 minutes

1 minute work of B = 1/28
3584 minutes work of B = 3584/28 = 128

Hence, The required number of pages that B should type is 128 pages.