Question
A boy travels from his home to school by bicycle. Riding
at a speed of 8 km/h, he arrives 18 minutes late. However, if he rides at a speed of 2.5 m/s, he is only 8 minutes late. What is the distance between his home and school?Solution
ATQ,
Let the distance between the home and school be x km Time taken at 8 km/h = T₁ = x/8 hours Speed = 2.5 m/s = (2.5 × 18/5) = 9 km/h Time taken at 9 km/h = T₂ = x/9 hours Difference in time = T₁ - T₂ = (x/8) - (x/9) Given, T₁ - T₂ = 18 - 8 = 10 minutes = 10/60 = 1/6 hour So, (x/8) - (x/9) = 1/6 (9x - 8x)/72 = 1/6 x/72 = 1/6 x = 72/6 = 12 Therefore, the required distance is 12 km.
Recently which of the following bank tops the list of Central Public Sector Undertaking lenders in credit growth in Q2 of 2022?
Who has become India's 80th Grandmaster in Chess?
Which Union Minister launched three sub - schemes under the RAMP program for MSMEs?
What is the theme of the 2024 Hornbill Festival in Nagaland, where Japan is a country partner?
In a historic moment, Narendra Modi unveiled the inaugural automobile in-plant railway siding at which company's subsidiary?
In the Global Drug Policy Index 2021 what was India’s rank?
Who is expected to be the Guest of Honour at the 10th Vibrant Gujarat Global Investors Summit?
NABARD Chairman launches My Pad My Right programme in which of the following city?
Which day is celebrated as ‘No Smoking Day’ every year?
Which among the following initiatives was launched by Union Minister Shivraj Singh Chouhan to support postgraduate studies in agriculture and allied sci...
Relevant for Exams:
