Question
A 140 m long train crosses another 260 m long train
running in the opposite direction in 15 seconds. If the shorter train crosses a pole in 14 seconds, what is the speed of longer train?Solution
Speed of the shorter train = 140/14 = 10 m/sec Let the speed of the longer train be x km/hr According to the question, ⇒ (10 + x) = (140 + 260)/15 ⇒ 10 + x = 400/15 ⇒ x = 400/15 – 10 = 250/15 ⇒ x = 50/3 x 18/5 = 60 km/hr
The ratio of the incomes of Vineet and Vidya is 8:3 respectively. Vineet saves 30% of his income while Vidya saves 20% of his income. The sum of their e...
- If the mean proportion of 1.21 and 0.25 is 'k', then find the value of '10k'.
Three numbers ‘P’, ‘Q’ and ‘R’ are such that ‘P’ is 25% more than ‘Q’ and ‘R’ is equal to the average of ‘P’ and ‘Q’. I...
Population of a town is 1,20,000. If number of the male increase by 7% and Females increase by 10% then the population of town would increase by 9.5 %. ...
Total population of city P and Q is 4420 and 5940 respectively. If the ratio of number of males to females in city is P and Q is 8:5 and 5:4 respectivel...
What is the mean proportion between 12 and 27?
‘X’, ‘Y’ and ‘Z’ rented a taxi for a trip. The taxi driver charges a fixed amount per kilometer. If ‘X’, ‘Y’ and ‘Z’ travelled ...
The ratio of the number of girls to the number of boys in a school of 990 students is 2 : 7. If 20 boys left the school, find how many new girls may be ...
The cost of diamond varies directly as the square of its weight. A diamond broke into four pieces with weights in the ratio 1 : 3 : 4 : 7. if the loss i...
Find the fourth proportion of (3k + 3), (6k + 6) and (9k + 9). (Note: 'k' is the largest single-digit composite number.)
