Ram Lal is a renowned packager of fruits in Varanasi. He packs 70 mangoes or 56 guavas every day working 7 hours a day. His wife also helps him. She packs 30 mangoes or 24 guavas working 6 hours per day. Ram Lal has to pack 3300 mangoes and 2400 guavas with help of his wife. They works alternately, each day 10 hours. His wife started packaging firs day and works every alternate days. Similarly, Ram Lal started his work second day and and worked alternatively till the completion of the work. In how many days the work will finished?
A. $$85\frac{3}{2}$$
B. 85
C. 84
D. 80
E. None of these
Answer: Option C
Solution(By Examveda Team)
Mango Packing rate of Ram Lal = $$\frac{{70}}{7}$$ = 10 per hour Guavas Packing rate of Ram Lal = $$\frac{{56}}{7}$$ = 8 per hour Mango Packing rate of Ram Lal's Wife = $$\frac{{30}}{6}$$ = 5 per hour Guavas Packing rate of Ram Lal's Wife = $$\frac{{24}}{6}$$ = 4 per hour On comparing, 8 Guavas = 10 Mangoes 1 Guavas = $$\frac{{10}}{8}$$ Mangoes 2400 Guavas = $$\frac{{10 \times 2400}}{8}$$ = 3000 Mangoes This means that they need to pack (6300 + 3000) Mangoes Combined Mango Packing rate of Both = 10 + 5 = 15 per hour We will take 2 days = 1 time unit. Working 10 hours a day they will pack 150 Mangoes in 1 time unit Total time taken to pack 6300 Mangoes = $$\frac{{6300}}{{150}}$$ = 42 time unit So, total time taken = 2 × 42 = 84 daysJoin The Discussion
Comments ( 2 )
Related Questions on Time and Work
A. 18 days
B. 24 days
C. 30 days
D. 40 days
This means that they need to pack (6300 + 3000) Mangoes..... Error here, its 3300+3000=6300
ram
7hr=70m
1hr=10m
7hr=56g
1hr=8g
wife
6hr=30m
1hr=5m
6hr=24g
1hr=4g
(10+5)*10=150m =2days work
(8+4)*10=120g= 2days work
(150m)*x=3300
x= 22
(120g)*y=2400
y=20
x+y=22+20=42
twice= 42*2= 84