Question
A bike departs from point X at 9:00 AM toward point Y,
traveling at a speed of 45 km/h. Two hours later, a car starts from point X toward point Y at a speed of 60 km/h. The car overtakes the bike at point Z, located between X and Y. After overtaking the bike, the car reaches point Y in 15 hours and immediately begins its return journey. The car and the bike meet again at point W. Determine the distance between points W and Z.Solution
According to the question, Time taken by car to overtake bike = 2 x 45 / (60 – 45) = 6 hours After 6 hours from start, both are at point Z. Distance between point Z and point Y = 60 x 15 = 900 km In 15, hours distance travelled by bike = 15 x 45 = 675 km Now at this point, the bike is running towards point Y and the car is towards X. Now, time is taken by car to reach at point W after reaching point Y = (900 – 675)/ (60 + 45) = 15/7 hours Distance between point W and Z = 900 – 15/7 x 60 = 771.42 km Hence answer is option A
A person borrowed Rs. 9,300 at 11% p.a. and Rs. 6,700 at 13% p.a. simple interest. If the total interest paid after ‘n’ years is Rs. 5,486, find the...
Rs. 3,600 is invested in three parts all at simple interest of 5% p.a. These three parts are invested randomly for 2 years, 3 years and 6 years such th...
Vishwas has Rs. 3600. He gives this money to Manoj on simple interest and after 4 years received the double amount. If the interest rate is 5% more than...
A man invested Rs. 25,000 at simple interest of 12% p.a. If he had instead invested the same sum on compound interest of 12% p.a., compounded annually, ...
The compound interest (compounded annually) on Rs 8200 for 2 years at R% p.a is Rs 1722. Had the rate of interest been (R+10)% p.a what would have been ...
A man deposited 25% of his salary to a bank which offers compound interest at the rate of 10% p.a. If the interest earned by him from the bank after 2 y...
Vipul invested Rs.4000 at the rate of R% simple interest for four years and he got Rs.1600 as interest. If he invest same amount for 2 years in C.I. an...
A man invested Rs. 30,000 at simple interest of 8% p.a. If he had instead invested the same sum on compound interest of 8% p.a., compounded annually, th...
At what rate of simple interest per annum will a sum of money become double in 12 years?
- Meena invests Rs. x in a fund that gives 18% simple interest per year. After 4 years, she earns interest of Rs. ‘1.4x – 800’. What is the value of x?
