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A Trip to Bhopal - Word Problems on Operations

Grade 4CBSE

Review the key concepts, formulae, and examples before starting your quiz.

🔑Concepts

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Estimating Bus Capacity: To find out how many buses are needed for a trip, we divide the total number of students by the number of seats available in a single bus. Imagine a line of buses where each bus represents a group of 50 seats; if we have 210 students, 4 buses will hold 4×50=2004 \times 50 = 200 students, and we can visualize 10 students remaining who would need another bus or extra seats.

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Understanding Unit Cost and Fueling: This concept involves calculating the total price based on the quantity of fuel or items purchased. Picture a digital display on a petrol pump showing the 'Price per Liter' and 'Total Liters'; if 1 liter costs Rs65Rs 65 and the tank takes 100 liters, the total cost is found by multiplying the two values.

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Time and Duration Calculations: We calculate the time taken for a journey by finding the difference between the departure time and the arrival time. You can visualize a clock face where the minute hand moves forward; for instance, if a bus stops at a bridge at 9:10 AM and leaves at 9:25 AM, it spent 15 minutes at the bridge.

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Equal Distribution: When items like food packets are shared among students, we use multiplication for the total count. Imagine each student holding a small bag containing 1 orange, 1 banana, and 5 biscuits; to find the total biscuits for the whole class, you multiply the number of students by 5.

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Calculating Boat Ride Costs: Different activities have different rates and durations. Visualize a ticket counter with a price board: a 'Double-decker' boat might cost Rs30Rs 30 per person for 45 minutes, while a 'Paddle boat' costs Rs15Rs 15 for 30 minutes. To find the total cost for a group, multiply the ticket price by the number of people.

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Distance and Landmarks: Traveling involves understanding the distance between stops. Picture a straight road as a number line starting at 0 km (School), with Bhopal at 110 km. If the bus is at a bridge 70 km away from school, you can calculate the remaining distance to Bhopal by subtracting 70 from 110.

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Problem Solving with Logic: Sometimes problems involve multiple steps, such as finding a number that is exactly halfway between two others. Visualize a number line with 100 on one end and 150 on the other; the number 125 sits exactly in the middle.

📐Formulae

TotalSeats=NumberofBuses×SeatsperBusTotal Seats = Number of Buses \times Seats per Bus

TotalCost=PriceperItem×QuantityTotal Cost = Price per Item \times Quantity

ItemsNeeded=Students×ItemsperStudentItems Needed = Students \times Items per Student

TimeDuration=FinishTime−StartTimeTime Duration = Finish Time - Start Time

RemainingDistance=TotalDistance−DistanceCoveredRemaining Distance = Total Distance - Distance Covered

NumberofBuses=TotalStudentsSeatsperBusNumber of Buses = \frac{Total Students}{Seats per Bus} (rounded up to the nearest whole number)

💡Examples

Problem 1:

There are 210 children going on a trip to Bhopal. If they are given buses with 50 seats each, how many children will get seats and how many will be left without seats?

Solution:

  1. Total children = 210210 \ 2. Seats in one bus = 5050 \ 3. Seats in 4 buses = 4×50=2004 \times 50 = 200 \ 4. Children who get seats = 200200 \ 5. Children left without seats = 210−200=10210 - 200 = 10

Explanation:

We first calculate the total capacity of 4 buses by multiplying the number of buses by the seats per bus. Then, we subtract this from the total number of children to find the remainder.

Problem 2:

A group of 40 children went for boating. They took the 'Double-decker' boat which costs Rs30Rs 30 per ticket and the 'Paddle boat' which costs Rs15Rs 15 per ticket. If 20 children took the Double-decker and 20 took the Paddle boat, what is the total money paid for tickets?

Solution:

  1. Cost for Double-decker = 20×30=Rs60020 \times 30 = Rs 600 \ 2. Cost for Paddle boat = 20×15=Rs30020 \times 15 = Rs 300 \ 3. Total money paid = 600+300=Rs900600 + 300 = Rs 900

Explanation:

We calculate the cost for each type of boat separately by multiplying the number of children by the respective ticket price, and then add the two totals together.