Question

15 men or 10 women can Consume 100
mangoes in 8 days how long will it take for 8 men and
12 women to consume 130
mangoes?
​

Answer 1

Answer:

6 days

Step-by-step explanation:

15 men =10 women

Convert into men or women

2 women =3 men

12 women = 18men

Total men: 8+18= 26 men

15 mens 8 days consumption = 100

1 men's1 day consumption =100/120 ie: 5/6

Time required to consume 130 mangoes by 26 men = 6/5 *130/26 ie : 6 days

Ans: 6 days

Answer 2

Question

15 men or 10 women can Consume 100

mangoes in 8 days how long will it take for 8 men and

12 women to consume 130

mangoes?

​Answer:

6 days. (assuming that extra mangoes do not slow down their eating capacity!- just kidding).

using formulae for multiple ratios and proportions:

Men Days. Mangoes eaten

15 : 8 : 100

1 : 1. : ?->. 100/(15*8) =5/6 Mangoes/man/day…(1)

similarly,

Women. Days. Mangoes

10. : 8. : 100

1. : 1: ? -> 100/80 = 5/4 Mangoes/women/days.

Together the man and woman can consume as per above capacity: using again using individual consumption ;

8*5/6 + 12*5/4 =15+ 20/3 = 65/3 mangoes/day.

So for 130 mangoes, days needed= 130/(65/3) = 6 days.