30 men repair a road in 56 days by working 6 hours daily. In how many days 45 men will repair the same road by working 7 hours?

Mathematics

2 answers:

Softa [21]3 years ago

4 0

time taken is 32 days,!!!!

nordsb [41]3 years ago

3 0

Answer:

32 days

Step-by-step explanation:

Men. Hours. Days

30. 6. 56

45 7. X

More men less hours: inverse relation, switch the fraction 30/45 to 45/30.

More hours less days: inverse relation, 6/7 switch to 7/6.

(45/30)*(7/6) = 56/x

7/4 = 56/x ( cross multiplication)

7x = 4*56

x = 224/7

x = 32

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