Question
Speed of a car and a bus is 20 km/h and 12 km/h,
respectively. If the time taken by the car to cover a distance of β8xβ km is 1 hour less than time taken by the bus to cover a distance of β6xβ km, then find the value of β8xβSolution
According to the question, (6x/12) β (8x/20) = 1 Or, (6x Γ 5 β 8x Γ 3) Γ· 60 = 1 Or, (30x β 24x) Γ· 60 = 1 So, x = 10 Required value = 8 Γ 10 = 80
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The least number which when divided by 8, 10, 12 and 15 leave zero remainder in each case and when divided by 16 leaves a remainder of 8 is:
Three numbers a, b and c are co-prime to each other such that ab = 34 and bc = 51. Find the value of (a + b + c).