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3 years ago

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Three students have started a fence-painting business. Working together, Pragnesh and Qazi can paint the fence in 2 hours. Simil

arly, Pragnesh and Ronghui can paint the fence in 3 hours when they work together. Finally, when Qazi and Ronghui work together, they can paint the fence in 4 hours. How long would it take if all three students worked together to paint the fence

1 answer:

vlada-n [284]3 years ago

8 0

Answer: 55.4 mins

Step-by-step explanation:

pragnesh and qazi = 2hrs

pragnesh and roghui = 3hrs

qazi and roghui = 4hrs

this means for every 1 hour they wold paint.

pragnesh and qazi = $\frac{1}{2}$ half of the fence

pragnesh and roghui = $\frac{1}{3}$

qazi and roghui = $\frac{1}{4}$ quarter of the fence

time taken when they all work together

= $\frac{1}{2}$ + $\frac{1}{3}$ + $\frac{1}{4}$

= $\frac{13}{12}$

= $\frac{12}{13}$

= 0.9231 × 60(mins)

= 55.4 mins

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