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Since, the speed of the bike increases by 5 km/hr after every 1 hour, therefore the bike will travel 5 km extra after every 1 hour. Therefore, distance travelled by the bike in 1st hour = 20 km Distance travelled by the bike in 2nd hour = 20 + 5 = 25 km Distance travelled by the bike in 3rd hour = 25 + 5 = 30 km This form an AP i.e. 20, 25, 30………distance travelled in 14th hour Therefore, total distance travelled by the bike in 14 hours = sum of the AP Distance travelled in 14 hours = (n/2){2a + (n – 1)d} Where n = number of terms = 14, a = 1st term = 20 and d = common difference = 14 Therefore, distance travelled in 14 hours = (14/2){2 × 20 + (14 – 1) × 5} = (14/2)(40 + 65) = 735 km
The ratio of two numbers A and B is 9:19 and C is 60% of the average of the numbers A and B. If the sum of A, B and C is 182, then what is the value of A?
A sum of Rs. 720 is divided among X, Y and Z such that X gets Rs. 124 more than Y. Y gets Rs. 64 more than Z. Find the share of Z?
A vessel contains some milk .6 liter of the milk was taken out of the vessel and replaced with 6 liter of water and again 6 liter of mixture was taken o...
Rs. 23121 are divided between A and B in the ratio 2:7. What is the difference between thrice the share of A and twice the share of B?
P, Q and R together started a business. Five times the investment of P equals six times the investment of Q and the capital of Q is twice that of R. Fin...
The ratio of the incomes of Vineet and Vidya is 12:7 respectively. Vineet saves 25% of his income while Vidya saves 20% of his income. The sum of their ...
Marks scored by A and B in a test are in the ratio 12:5 respectively. If B had scored 5 more marks, then marks scored by A would be 20% more than that o...
A starts a business with Rs. 75,000 and B joins the business 5 months later with an investment of Rs. 80,000. After 1 year, they earn a profit of Rs. 4,...
If A:B:C = 2:3:8 and (B + C) = 132, then find the difference between 'C' and 'A'.
