Zakir travels from City A to City B. If Zakir drives his car at \( \frac{2}{3} \) of his normal speed, then he reaches City B 45 minutes late. Find the time (in minutes) that Zakir would have taken to travel from City A to City B if he drove at his normal speed.
P and Q can do a piece of work in 10 and 6 days, respectively, while R can destroy the same work in 15 days. If P and Q work on 1st day, R works on 2nd and so on. They follow the same pattern until the work gets completed. How many days will it take for the work to be completed the first time?
8 \( \frac{3}{4} \)
9 \( \frac{1}{2} \)
8 \( \frac{1}{2} \)
9 \( \frac{3}{4} \)
Baban has two grandsons Rakesh and Shivam. 13 year old Rakesh gets some money from Baban's wealth and 14 year old Shivam gets rest of the money. But Rakesh and Shivam will get money only when they turn 22 years old. Till then the money is in a bank getting interest at rate 10% compounded annually. When both turn 22, they receive the same amount. How much had Baban given Shivam (in ₹) initially, if total money with Baban was ₹23,100?