Question
Amit has two routes, βXβ and
βYβ, to travel from his home to his gym. The length of route βXβ exceeds the length of route βYβ by 15 km. On Monday, Amit chose route βXβ. He traveled at a certain speed for 2 hours, then increased his speed by 20% for the rest of the journey. On Tuesday, he opted for route βYβ. For the first 2 hours, he traveled at a speed that was 20% less than his initial speed on Monday, and then increased his speed by 25% for the remainder of the journey. If Amit completed both routes in exactly 3 hours, determine the distance of the longer route.Solution
ATQ,
For route βXβ: Let the speed of Amit for 2 hours be βaβ km/hr Therefore, total distance covered = 2a + 1.2a = 3.2a km For route βYβ: Speed of Amit for 2 hours = 0.8a km/hr Therefore, total distance covered = 0.8a Γ 2 + 1.25 Γ 0.8a = 2.6a km According to the question, 3.2a β 2.6a = 15 Or, a = 15/0.6 = 25 Therefore, distance of the longer route = 3.2a = 80 km
Find the unit digit of (57 129 Β - 7).
Find the difference between of the greatest among the numbers 0.82, 0.802, 0.85, 0.085 with the smallest among the numbers 0.3, 0.03, 0.203, 2.03
The number of chocolates with βRohanβ and βSohanβ together is 20 more than that with βMohanβ, while the number of chocolates with βSohanοΏ½...
A number when divided by 25 leaves a remainder of 19. What will be the remainder when five times that number is divided by 25?
What is the smallest four-digit number that can be evenly divided by 20, 24, and 36?
- Find the smallest perfect square that is divisible by 10, 14, 18, and 21. What is the remainder when it is divided by 85?
A, B and C hired a taxi for Rs. 880 and used it for 2, 4, 5 hours respectively. Hiring charges paid by B are:
The number of present boys to girls is in the ratio 2:1. If 15 girls are absent and they form 25% of the total class, and no boy is absent, then find th...
One baker house has to make 600 cakes and another one 750 cakes during the same period of time. In the first house, the order was ready 5 days ahead of ...
Relevant for Exams:
