Question
An individual "P" needs to cover
a total distance of 516 km. They travel 6 km less than half of the total distance at a speed of 48 km/h, followed by (7/12)th of the remaining distance at a speed of 44 km/h. If the total time taken for the journey is 11.5 hours, determine the speed at which "P" traveled the final segment of the journey.Solution
ATQ, Distance travelled at speed of 48 km/h = 516 × 0.5 - 6 = 252 km So, time taken to travel 252 km = 252 ÷ 48 = 5.25 hours Remaining distance = 516 - 252 = 264 km (7/12)th of the remaining distance = 264 × (7/12) = 154 km Time taken to travel 154 km = 154 ÷ 44 = 3.5 hours Remaining distance to be travelled = 516 - (252 + 154) = 110 km Remaining time = 11.5 - (5.25 + 3.5) = 2.75 hours So, speed at which remaining distance to be travelled = 110 ÷ 2.75 = 40 km/h So, 'P' travelled the last part of the journey at the speed of 40 km/h
If the third proportion of 36 and 54 is “0.5k”, then find the value of (k − 28) : (k + 20).
Find the fourth proportional of 10¹⁵, 2⁸ and 5⁸
A seller sold three types of fruits i.e. apples, bananas, and oranges. The number of apples sold is 30% of the total number of fruits sold, and the rati...
'A' varies directly as 'B'. If at 'A' = 25, value of 'B' is 40, then find the value of 'A' at 'B' = 96.
A sum of money is divided among P, Q, R and S in the ratio of 2:3:9:10 respectively. If the share of R's is Rs. 3900 more than the share of Q, then what...
- The ratio of the pocket money of two persons ‘C’ and ‘D’ is 4:3, respectively. ‘C’ spends 50% of his pocket money while ‘D’ spends 75% of h...
The ratio between the number of males and females in a college is 25: 26. If the number of males increases by 20% and the number of females increases by...
The ratio of two numbers is 6:7. If each number is decreased by 3, the ratio becomes 9:11. Find the smaller numbers.
The ratio of the incomes of Vineet and Vidya is 12:5 respectively. Vineet saves 25% of his income while Vidya saves 20% of his income. The sum of their...
- If the mean proportion of 1.69 and 4 is 'k', then find the value of '2k'.