A can do a piece of work in 4 hours and B can do it in 6 hours. How much time would they take working together to finish the wor
k?
2 answers:
Answer:
2.4 hours
Step-by-step explanation:
Let total work = X
Rate of work done = X ÷ time
Rate of A = X/4
Rate of B = X/6
If they work together, rate is the sum of their individual rates, i.e.
X/4 + X/6
= (3X + 2X)/12 (taking LCM)
=5X/12
Rate = X/time
5X/12 = X/time
time = X÷(5X/12)
time = X × 12/(5X)
time = 2.4 hours
Shortcut:
Product of individual times/sum of individual times
= (4×6)/(4+6)
=24/10
=2.4 hours
Answer:
5 hours
Step-by-step explanation:
A = 4hours
B= 6 hours
Average of A and B = (4hours+6hours)/2 = 5hours
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