Three pumps P, Q and R can fill an overhead water tank in 6 hr, 10 hr and 12 hr respectively. Pump operator start all three pumps at 7 pm.The pump P goes breakdown at 8 : 30 pm. By what time pump operator should switch off the other two pumps just before the tank starts overflow?
1). 11 : 05 pm
2). 11 : 17 pm
3). 10 : 50 pm
4). 10 : 19 pm
? Pumps P, Q and R will fill1/6, 1/10 and 1/12 of the tank in one hour respectively.
Let x hours is required for pumps Q and R to fill the remaining tank after pump P goes down.
∴ (1/6 + 1/10 + 1/12) × 3/2 + (1/10 + 1/12) × x = 1
⇒ 21/40 + 11x/60 = 1
⇒ x = 57/22
∴ Total hours required = 3/2 + 57/22 = 45/11 hr i.e. 11 : 05 pm
5. ‘The One Who Wrote Destiny’ is a book authored by ________.