The following table shows the average speed (in km per hour) of five different trains A-E during six days of a week from Monday through Saturday. Some data is missing in the table ( indicated as '-') that you are expected to calculate, if required. Based on the data in the table, answer the question that follows: Train - wise speed (in km/hour) on different DaysTrain Average Speed (in km/hr) of Trains Monday Tuesday Wednesday Thursday Friday Saturday A 72 80 - 64 54 - B 88 - 80 84 72 90 C 54 70 72 - 64 60 D - 120 95 - 90 110 E 72 80 84 75 - -
For train A, if the average speed on Saturday is 20% more than that on Wednesday and the mean of the average speeds over all the six days is 67 km/hour then what is the average speed on Saturday?
72 km/hour
From the table, train A's known speeds are Monday 72, Tuesday 80, Thursday 64 and Friday 54. Only Wednesday and Saturday are missing.
Let Wednesday's speed = W. We are told Saturday is 20% more than Wednesday, so Saturday = 1.2W.
The mean over the six days is 67, so the total of all six days = 67 × 6 = 402.
Add the known days: 72 + 80 + 64 + 54 = 270.
Therefore W + 1.2W = 402 − 270 = 132, i.e. 2.2W = 132, so W = 60.
Saturday = 1.2 × 60 = 72 km/hour.
This is why 72 km/hour is correct. Values like 74 or 75 do not satisfy the mean-equals-67 condition once you solve for W.
Similar Questions
In company E, if the average number of employees who are Graduates in Arts and Commerce is 377, then the number of employees in company E is
In company B, the difference between the number of employees who are Graduates in Arts and Graduates in Science is:
In company A, if the ratio between the number of employees who are graduates in Commerce and Arts is 10:7, then the number of employees who are graduates in Arts in the same Company is:
In Company B, if the number of employees increased by 20% from December 2021 to December 2022 and 20% of the total number of employees in December 2022 are Science Graduates, then the number of employees who are Science Graduates in December 2022, is:
If the number of employees in company D is 3 times the number of employees in Company C and the difference between the number of employees who are Arts Graduates in company D and that in company C is 480, then the number of employees in company C is
What is the ratio between total number distributed newspapers W and total number distributed newspapers Z?
What is the percentage of Newspaper Y distribution with total distribution?
What is the percentage of the newspapers which are not distributed to any city?
Which newspaper has highest distribution?
What is the average number of newspapers distributed in each city?
Important Questions from Tabulation
What is the ratio of total number of patients recovered from covid-19 in April to total number of patients recovered from covid-19 in March?
In which state, the number of patients who recovered from covid-19 steadily decreasing?
What is the average number of patients who recovered from Covid-19 in Madhya Pradesh in four months?
Find the difference between the total number of patients recovered from Covid-19 in all months in Punjab and the total number of patients recovered from Covid-19 in all months in Rajasthan.
In February 2021 the number of patients recovered from Covid-19 in Punjab is how much approximant percent more/less than the number of patients recovered from Covid-19 Uttar Pradesh in the same month?
