M can dig a trench 40 meters in depth in 4 days working equal hours for a day.Next day morning and every morning thereafter he finds the one fifth of the net depth as at the end of the previous day has got filled up with the mud again. what was the depth of the trench in the beginning of the fourth day?
Answers
The depth of the trench in the beginning of the fourth day was:-
Step-by-step explanation:
The depth of the trench at the morning of fourth day was= 96 metres.
(40m-8m)+(40m-8m)+(40m-8m)= 96 metres.
Answer:
19.52 meters
Step-by-step explanation:
If M can dig a trench 40 meters in depth in 4 days working equal hours for a day. Then in one day, M can dig 40/4 = 10 meters.
At the end of day one, M will have dug 10 meters.
At the beginning of the second day, the trench will be 4/5 deep. Therefore it will be 0.8x10= 8 meters deep.
M digs 10 meters on the second day, therefore at the end, the net depth of the trench will be 10+8= 18 meters.
At the beginning of the third day, the depth will be 0.8 x 18= 14.4 meters deep.
M digs 10 meters, so at the end of the day the trench will be 14.4 + 10 = 24.4 meters.
At the beginning of the fourth day, one fifth of the net depth as at the end of the previous day will be filled up with the mud again.
Therefore the net depth will be 0.8 x 24.4 = 19.52 meters