Start learning 50% faster. Sign in now
ATQ, Let the distance between Bus stop 'A' and 'B' be 'k' km Since, the Child flew from Bust stop 'A' to Stop 'B', the bus is moving downhill from point 'A' to 'B'. Let the speed of the Bus be 'b' km/h and speed of the downhill road be 'a' km/h Distance covered by the child in first 4 hours = '4a' km {(k - 4a) /(a + b - a) } = 4 Or, k - 4a = 4k So, k = 4(b + a) ...... (I) Now, since the bus and the child both reach Bus stop 'Q' together, we have; {k/(a + b) } + {k/(b - a) } = (k/a) - 4 Or, {k/(k/4) } + {k/(b - a) } = (k/a) - 4 {Using equation (I) } Or, 4 + {k/(b - a) } = (d/a) - 4 Or, 8 = (k/a) - {k/(b - a) } Or, 8 = k × [(1/a) - {1/(b - a) }] Or, 8 = 4 × (a + b) × {(b - a - a) /(ab - a2) } Or, 2 × (ab - a2) = (a + b) × (b - 2a) Or, 2ab - 2a2 = ab - 2a2 + b2- 2ab Or, 2ab = b2- ab Or, 3ab = b2 So, 3a = b So, k = 4 × (a + 3a) So, k = 16a So, time taken by the bus to reach Bust stop 'B' = (k/a) = 16a ÷ a = 16 hrs
There are 10 members in a delegation which is to be sent at SAARC summit. The total number of members is 18. In how many ways can the selection be made ...
In How many ways can a student choose a program of 5 courses, if 9 courses are available and 2 courses are compulsory for every student?
How many 6-digit numbers can be formed from the digits 0,3,4,5,6 and 8, in which the digits are not repeated?
An examinee is required to answer 7 questions out of 14 questions, which are divided into two groups each containing 7 questions. He is not permitted to...
In how many ways 6 novels and 7 notebooks can be arranged in a row so that they are alternate?
There are 14 candidates for 5 post. In how many different ways can be post be filled?
How many unique arrangements can be made using all the letters of the word "DELUSION", ensuring that the vowels do not appear together?
How many words can be formed with the letter of the word ‘NUMBER’ when alll vowels are never together?
There are 20 Bikes in the No-Parking zone. On a Particular day, A policeman planned to fine the four bikes of the No-Parking Zone. In how many ways can ...
A letter is randomly selected from the word "DETACHMENT." What is the probability that the selected letter is a vowel?