Question
Speed of a car is (v + 3) km/h, which is 10 km/h less
than that of bike. Time taken by car to cover 84 km is 25% less than the time taken by bike to cover 168 km. Length of a train is (5v + 11) metres. If speed of train is (v - 5) m/s, then find the time taken (in seconds) by train to cross a man standing on a platform of length 420 metres.Solution
Speed of bike = v + 3 + 10 = (v + 13) km/h 84 ÷ (v + 3) = (3/4) × 168 ÷ (v + 13) Or, 84(v + 13) = 126(v + 3) Or, 84v + 1092 = 126v + 378 Or, 42v = 714 Or, v = 17 Length of train = 5 × 17 + 11 = 96 metres Speed of train = 17 − 5 = 12 m/s Since we need to calculate the time taken by train to cross the man standing on the platform, so the length of the platform will not be considered. Required time = 96 ÷ 12 = 8 seconds
Each meal provided at Atal Canteens in Delhi offers approximately how many calories per serving?Â
What is the name of the newly launched UPSC job placement initiative for high-performing candidates?Â
- Which country recently overtook China to become the world's largest exporter of goods?
Oman Airports became the first airport operator globally to deploy which wireless standard?Â
According to the CAG, how much shortfall was reported in transferring cess collections to their designated funds?Â
The Rashtriya Bandh Suraksha Darpan (RBSD) platform launched for dam safety was developed by which organisation?Â
What technology was launched at the National Zoological Park in Delhi to improve water quality?
- Which technology is being used under the NAKSHA initiative to modernize urban land records in India?
Which of the following big cats are hosted by Nepal, making its entry into the International Big Cat Alliance significant?Â
The revised mutual fund regulations announced by SEBI will come into effect from which date?Â
