Question
A train can cross a pole in 32 seconds. While if the
train increased its speed by 45% then time taken by it to cross 289 metres long platform is 42 seconds. Find the time taken by the train to cross a 120 metre long tunnel.Solution
Let speed of train is ‘x’ m/s So, length of train = 32 × x = 32x metres And, 32x + 289 = 1.45 × x × 42 Or, 28.9x = 289 Or, x = 10 m/s So, length of train = 32 × 10 = 320 metres Desired time = (320 + 120)/10 = 44 seconds
A cricketer had a batting average of x runs in the first 18 matches. In the next 6 matches, he scored an average of 60 runs. His overall average increas...
The average age of (x + 7) trainees is 17 years. When a 39-year-old trainer joins, the average becomes 18 years. Find x% of 500.
In a classroom, the combined average age of all students and their teacher is 17 years. The average age of the boys in the class is 13 years. If the tea...
Nora claims her age is between 18 and 22 years. Her grandmother says Nora's age is between 20 and 24 years. Her aunt thinks her age is between 19 and 21...
In a school with 400 students, the average of the age of the boys is 16 years and that of the girls is 12 years. If the average age of the school is 14 ...
A batsman averages 28.4 runs in 15 innings. In the next three innings, he scores 45, 89 and 52. Find his new batting average.
In a Math exam, the average score of 50 students is 68. The ratio of boys to girls in the class is 3:2. If the average score of the boys is 70, what is ...
The average expenditure of a man for the first 4 month is Rs.4000 and for the next 8 months is Rs.6000. If he saves 11000 in that year then find his ave...
The average number of books sold by Viren in first 5 months is 3000 and in first 6 months is 3800. If the number of books sold by him in 7th ...
A class of 45 students has a total weight of 1080 kg. Two students with weights 22 kg and ‘z’ kg leave the class, and a new student with weight (3z ...
Relevant for Exams:
